242797200 has 240 divisors, whose sum is σ = 856135680. Its totient is φ = 58544640.

The previous prime is 242797183. The next prime is 242797229. The reversal of 242797200 is 2797242.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524169 + ... + 524631.

It is an arithmetic number, because the mean of its divisors is an integer number (3567232).

Almost surely, 2^242797200 is an apocalyptic number.

242797200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242797200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428067840).

242797200 is an abundant number, since it is smaller than the sum of its proper divisors (613338480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242797200 is a wasteful number, since it uses less digits than its factorization.

242797200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 242797200 is about 15581.9510973434. The cubic root of 242797200 is about 623.8515014812.

The spelling of 242797200 in words is "two hundred forty-two million, seven hundred ninety-seven thousand, two hundred".